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Finding the Fourth Proportional to 7,074.96, 10,612.43 and 3,176.63

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Solution

The fourth proportional to 7,074.96, 10,612.43 and 3,176.63 is: 4,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.96 : 10,612.43 = 3,176.63 : x
  2. Step 2: Convert to fraction form
    7,074.96/10,612.43 = 3,176.63/x
  3. Step 3: Cross multiply
    7,074.96x = 10,612.43 × 3,176.63
  4. Step 4: Simplify right side
    7,074.96x = 33,711,694.57
  5. Step 5: Solve for x
    x = 33,711,694.57/7,074.96
  6. Step 6: Final answer
    x = 4,764.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.